Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.lang.Math;
import java.math.BigInteger;

public class Problem {

	public static void main(String[] args) throws IOException {

		new Problem().run();
	}

	BufferedReader in;
	PrintWriter out;
	StringTokenizer tok;
	static final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null;
	Problem() throws FileNotFoundException{

		if (ONLINE_JUDGE) {
			in = new BufferedReader(new InputStreamReader(System.in)); 
            out = new PrintWriter(System.out); 
		} else {
			in = new BufferedReader(new FileReader("input.txt"));
			out = new PrintWriter("output.txt");
		}
		tok = new StringTokenizer("");
	}

	// ======================================================

	int INF = Integer.MAX_VALUE;
	List<Integer>[] graph;
	boolean[] used;
	long[] time;
	int[] def;
	int[] ans;
	ArrayList<Integer> ansPath = new ArrayList<>();
	boolean flag = false;
	int maxLength;
	int curClone = 0;
	void solve() throws IOException {
		int n = rI();
		double h = rI();
		double s = h/2;
		double divS = s/n;
		double l = 0;
		double r = h;
		for(int i=0;i<200;++i){
			double mid = (r+l)/2;
			if(mid*(mid/h)/2>divS){
				r = mid;
			}else{
				l=mid;
			}
		}
		out.print(l+" ");
		double lastOsn = l/h;
		double lastL = l;
		for(int i=0;i<n-2;++i){
			r = h;
			for(int j=0;j<200;++j){
				double mid = (r+l)/2;
				if((mid-lastL)*(mid/h+lastOsn)/2>divS){
					r = mid;
				}else{
					l=mid;
				}
			}
			lastOsn = l/h;
			lastL = l;
			out.print(l+" ");
		}
		
	}
	
	// ======================================================
	void run() throws IOException {
		solve();
		out.close();
	}


	int sqrt(double m){
		int l = 0;
		int r = 1000000000+9;
		int i=1000;
		while(r-l>1){
			int mid = (r+l)/2;
			if(mid*mid>m){
				r = mid;
			}else{
				l = mid;
			}
		}
		return l;
	}
	int countPow(int m,int n){
		int ans = 0;
		while(m%n==0&&m>0){
			ans++;
			m/=n;
		}
		return ans;
	}
	long binPow(long a, long b){
		if(b == 0){
			return 1;
		}
		if(b%2==1){
			return a*binPow(a,b-1);
		}else{
			long c = binPow(a,b/2);
			return c*c;
		}
		
	}
	long gcd(long a, long b){
		return b==0?a:gcd(b,a%b);
	}
	
	long pow(long x, long k){
		long ans=1;
		for(int i=0;i<k;++i){
			ans*=x;
		}
		return ans;
	}
	//////////////////////////////////////////////////////////////////////


	String delimiter = " ";
	String readLine() throws IOException {
		return in.readLine();
	}
	String rS() throws IOException {
		while (!tok.hasMoreTokens()) {
			String nextLine = readLine();
			if (null == nextLine)
				return null;

			tok = new StringTokenizer(nextLine);
		}

		return tok.nextToken(delimiter);
	}
	int rI() throws IOException {
		return Integer.parseInt(rS());
	}

	long rL() throws IOException {
		return Long.parseLong(rS());
	}
	int[] rA(int b) {
		int a[] = new int[b];
		for (int i = 0; i < b; i++) {
			try {
				a[i] = rI();
			} catch (IOException e) {
				e.printStackTrace();
			}
		}
		return a;
	}
	
	int[] readSortedIntArray(int size) throws IOException {
	        Integer[] array = new Integer[size];

	        for (int index = 0; index < size; ++index) {
	            array[index] = rI();
	        }
	        Arrays.sort(array);

	        int[] sortedArray = new int[size];
	        for (int index = 0; index < size; ++index) {
	            sortedArray[index] = array[index];
	        }

	        return sortedArray;
	    }

}